e ecse with the and of logarcdtlmc dffenatiation /-

Q: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

Q: By using u=ln(3x) and dv=6x dx, find ∫ 6x ln(3x) dx. Be sure to include the argument of the…

A: Consider the integral

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 7√7

A: We first write the inner expression using an exponent.

Q: Find dx by first using algebraic properties of the natural logarithm (x+7)(x + 8)³ (x + 2)°(x + 3)°…

A:

Q: Write as a single term that does not contain a logarithm:

A: eln 8 x5- ln 2 x2

Q: 4. If log,v=log,x - (2logby +logbz) , what is the value of v?

A:

Q: Express in terms of logarithms of x, y, z, or w.

A: Given logarithmic expression is log4xz. To express logarithms in terms of x, y, z or w. Solution: We…

Q: Differentiate the following functions using logarithmic differentiation. 1. y = (2x + 1)š(3x – 4)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which of the following functions grow faster than ln x as x→∞?Which grow at the same rate as ln x?…

A:

Q: condense the following expression into a single logartithm whose base is 4.  3log4X-log2Y+2

A: It is a logarithmic problem

Q: Express as a single logarithm and if possible simplify

A: We have given the expression

Q: Which of these are equivalent to log 1? yz?

A:

Q: Differentiate with respect to x:* y = log, (x) :() 2+ In x - In x Option 2 Option 3 2 - In x 1+ In x…

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: y = x² log2( 4*)

A: given function :

Q: Use the properties of logarithms to expand log (zy).

A: Properties of Logarithms :i) log(ab) = log(a) + log(b)ii) log(ab) = b log(a)

Q: I. Find the natural logarithm of the following when z equals: 1. –10 2. –3 – j4

A: The general form of a complex number is given by z=a+jb, where a and b are real numbers and j=-1.…

Q: y = log (4x°)

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Express the guven auantity In (xt2)" single logarithm. ' + I LIn x-In (x? + 3x +a)°J as a

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln √13.5

A: Express ln13.5 in terms of ln2 and ln3.

Q: 2. Expand the following natural logarithms: In(zx'y") b. In- zy а.

A:

Q: Express in terms of logarithms of x, y, z, or w.

A: The given expression is logax3wy2z4

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√2

A: Solution:- the given term is A=ln(32) as we know that  ln(m×n)=lnm+lnnand ln(a)b=bln(a)

Q: Express in terms of logarithms of x, y, z, or w.

A: lnx y4z53 =lnx +ln y4z53 =lnx +ln y4z513  ln y4z513 =13ln y4z5 =13ln y4-ln z5 =134 ln y-5 ln z =4 ln…

Q: Expand the logarithmic expression In(XY^2Z^3)

A: To expand the logarithmic expressionlnxy2z3

Q: Evaluate loge 7 by Simpson's (i) rd, and (ii) th rules.

A:

Q: Evaluate the Pntegral loo Log (lo0n)dy

A: Given: ∫01100log10100xdx

Q: find dy if by using logarithmic

A:

Q: . if võ =o, i =1 and Ju = 2 estimate 13 %3D by constructing Logrange polynamial, Itn with the exact…

A:

Q: Determine the approximate values af log3 (VI6,0L + V24.99 (Instruction d logax dx In a

A:

Q: = log z in the regio

A:

Q: Find the linearization of the natural logarithm f(x)=lnx at x=1.

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Q: Find dg Using Logarithmic differentation y =3 2x +1

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Q: Use the Laws of Logarithms to expand the quantity.

A: Use the Laws of Logarithms to expand the quantity.

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 1225

A: Given, ln(1225) Express this in terms of ln(5) and ln(7)

Q: d -log(z) = dz (Z

A:

Q: Differentiate with respect to the independent variable: f(x)= log base 20 square root x

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Q: y = Arccos (logx); y' = * %3D

A:

Q: Find d (7ª). Type In(x) for the natural logartihtm function. dx

A: Given query is to find derivative if the expression.

Q: Use the logarithm rules to expand the logarithmic expression as a sum, difference, and/or constant…

A: Use the Lograthmic rules to expand the Lograthmic expression as a sum , difference and /or constant…

Q: d Find (2"). Type In(x) for the natural logartihtm dx function.

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Q: d log, x = 1 dx [(In a)(x)]

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: Use values of f(x) = In(x) %3D to estimate log ( 6.67 ) using 4th order

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln (4 / 9)

A: Given logarithm ln49 The objective is to expression the logarithm in term of  ln (2) and ln(3)